Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters

M. Lazar; W.P.M.H. Heemels; B.J.P. Roset; H. Nijmeijer; P.P.J. Bosch, van den

doi:10.1002/rnc.1249

Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters

M. Lazar, W.P.M.H. Heemels, B.J.P. Roset, H. Nijmeijer, P.P.J. Bosch, van den

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

This article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC-DC converter.

Original language	English
Pages (from-to)	890-904
Number of pages	15
Journal	International Journal of Robust and Nonlinear Control
Volume	18
Issue number	8
DOIs	https://doi.org/10.1002/rnc.1249
Publication status	Published - 2008

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Lazar, M., Heemels, W. P. M. H., Roset, B. J. P., Nijmeijer, H., & Bosch, van den, P. P. J. (2008). Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters. International Journal of Robust and Nonlinear Control, 18(8), 890-904. https://doi.org/10.1002/rnc.1249

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abstract = "This article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC-DC converter.",

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